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Finding the Fourth Proportional to 5,392.96, 8,099.16 and 5,146.72

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Solution

The fourth proportional to 5,392.96, 8,099.16 and 5,146.72 is: 7,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.96 : 8,099.16 = 5,146.72 : x
  2. Step 2: Convert to fraction form
    5,392.96/8,099.16 = 5,146.72/x
  3. Step 3: Cross multiply
    5,392.96x = 8,099.16 × 5,146.72
  4. Step 4: Simplify right side
    5,392.96x = 41,684,108.76
  5. Step 5: Solve for x
    x = 41,684,108.76/5,392.96
  6. Step 6: Final answer
    x = 7,729.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.